Find the general solution of the given system using the characteristic equation dxdt=6x-y dydt=5x+2y Find the...

Find the general solution of the given system using the characteristic equation

dxdt=6x-y
dydt=5x+2y

Find the general solution of the given system using the characteristic equation

dxdt=6x-y
dydt=5x+2y

Expert Solution

milcah answered 2 years ago

Find the general solution of the given system. dx/dt=6x-y dy/dt=5x+4y

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′...

1.Find the general solution of the given differential equation using variation of parameter. y″ − 2y′ + y = et/(1 + t2)

Find the general solution of the given system. dx dt = 6x + y dy dt...

Find the general solution of the given system. dx dt = 6x + y dy dt = −2x + 4y [x(t), y(t)]= _____________, _______________ (6c1+8c2)10sin(6t)+(6c2+8c1)10cos(6t), c1cos(6t)+c2sin(6t) ^above is the answer I got, which is incorrect.

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one....

y'''-2y"-y'+2y=xex^2+2x a) Find a general solution to the corresponding homogeneous equation, given that e2x is one. b) In the method of variation of parameters, find v1, where v1e2x + v2y2 + v3y3 = yp is a particular solution to the inhomogeneous equation. Use the method of variation of parameters Please explain and show work, thanks!

2. Find the general solution to the differential equation x^2y''+ y'+y = 0 using the Method...

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Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for...

Find a general solution of the inhomogeneous equation y′′ + 2y′ + 5y = f(x) for the following cases: (i) f(x) = 1 (ii) f(x) = x2 (iii) f(x) = e−x sin2x (iv) f(x) = e−x (v) sin2x

Using Variation of Parameters: (Higher Order DE) Find the general solution of y'''− 2y''− y'+ 2y...

Using Variation of Parameters: (Higher Order DE) Find the general solution of y'''− 2y''− y'+ 2y = e^x?

Solve the differential equation: y' + 2y = cos 5x

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